Introduction to the theory of computation

May 12th, 2015
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Computation Models What is computation? What is an algorithm? We will consider a hierarchy of models of computation: Finite state machines

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CSE303IntroductionCSE 303 Introduction to theTheory of ComputationLeo BachmairFall 2014Leo BachmairCSE 303 IntroductionComputation ModelsWhat is computation?What is an algorithm?We will consider a hierarchy of models of computation:Finite state machinesStack machinesTuring machinesIn each instance we explore the potential and the limitations of the model.We will also compare different modes of computation, e.g.,deterministic versus nondeterministic.Leo BachmairCSE 303 IntroductionLanguage SpecificationFormal languages are typically defined by grammars or similar formalisms.We consider a hierarchy of such specification formalisms:Regular expressionsContext-free grammarsUnrestricted grammarsThe levels in this hierarchy correspond to differentcomputation models and we describe algorithms forconversion between different systems.Leo BachmairCSE 303 IntroductionComputability Theory Versus Complexity TheoryComputability theory focuses on what can be done within acomputation model, and what cannot be done.Complexity theory, the study of the efficient use ofcomputational resources (time, space), is not coveredextensively in this c

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